Final answer:
To determine the bandwidth of the phase-modulated signal described, additional information about the signal's maximum frequency deviation and message frequency is necessary. Without these details, an accurate estimate of bandwidth cannot be provided.
Step-by-step explanation:
The student's question revolves around finding the bandwidth of a phase-modulated (PM) signal which is mathematically represented as ϕ(t)=8cos(2π⋆108t+2sin(2π⋆103t)).
In phase modulation, the bandwidth can be estimated using Carson's Rule, which states that the bandwidth is approximately equal to twice the sum of the maximum frequency deviation and the highest frequency in the modulating signal.
However, the given equation does not directly provide the maximum frequency deviation or the message frequency, which are essential to apply Carson's Rule. Additional information or clarification from the student about these specific parameters would be necessary to provide an accurate answer.